Question

A man sold two articles at 375 each on the first article he gains 25percent other he losses 25percent how much does he gain or loss and percentage

Answer 1

Hope it helps.....

SP of 1st article= ₹375
Gain% = 25%
CP= (100×SP)/100+Gain
= (100×₹375)/100+25 {Don't do the cancelling out process here, else ur math will be wrong.}
= ₹37500/125 {Now, u can do the cancelling out process}
= ₹300 {37500 gets divided by 125, so we r only left with 300}
So, CP of 1st article= ₹300

Now, SP of 2nd article= ₹375
Loss% = 25%
To find the CP, we follow the above procedure, only in the 1st step instead of + there will be -, as there is loss.
CP= (100×SP)/100-Loss
= (100×₹375)/100-25
= ₹37500/75
= ₹500

Total SP= (SP of 1st article+SP of 2nd article)
= ₹(375+375) = ₹750
Total CP= (CP of 1st article+CP of 2nd article)
= ₹(300+500) = ₹800

As, CP > SP, there is loss.

Loss= CP - SP = ₹(800 - 750) = ₹50

Loss% = {(Loss/CP)×100)%
= {(50/800)×100)% {Follow the cancelling out process and simplify this}
= 6.25%
Therefire, there is a loss of 6.25% on the whole transaction.

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Answer 2

Solution :-

We have,

Selling price of two articles is Rs 375 each.

Cost Price of one article at 25% gain :

C.P = (S.P × 100)/(100 + gain)

= (375 × 100)/(100 + 25)

= 37500/125

= 300

Cost price of other article at 25% loss :

C.P = (S.P × 100)/(100 - loss)

= (375 × 100)/(100 - 25)

= 37500/75

= 500

Now,

Cost Price of two articles = Rs (300 + 500) = Rs 800

Selling price of two articles = Rs (375 + 375) = Rs 750

Cost Price > Selling price

Loss = C.P - S.P

= Rs (800 - 750)

= Rs 50

Loss % = (loss × 100)/C.P %

= (50 × 100)/800 %

= 5000/800 %

= 6.25%

Answer : The loss percent in the whole transaction = 6.25%